Answers
1- y=-4
2- y=-11/15
3- y=24
4- c= 27/2
Answer:
1. y = -4
2. y = -0.73 (rounded; it's a repeating decimal and the 3 goes on. -0.7333333, and so on)
3. y = 24
4. c = -13.5
Step-by-step explanation:
30+7y=-2y-6
You want to get the y all by itself. So in order to do that you must combine the like terms from both sides. (so you'll combine the values with a variable, in this case y, and then you will combine the numbers without a variable.)
So, first, get the y's on the same side.
30+7y = -2y-6
Because 2 is negative "-2y", in order to cancel it out you have to ADD 2y to both sides.
30+(7y+2y)= -6
30+9y=-6
Remember, your goal is to get y by itself. So in order to do that, you have to get rid of the solo number on the same side, which is 30. Therefore, you must subtract 30 from BOTH SIDES.
9y= (-6 - 30)
Remember, when you're subtracting with negatives. The rule is: KEEP IT, SWITCH IT, SWITCH IT.
Keep the -6.
Switch the - to a +
And switch the positive thirty to a negative 30.
9y= -6 + (-30)
9y = -36
You want the y alone, so you have to cancel out the multiplication by its recipriocal (or opposite). The opposite of multiplication is division. So you must divide both sides by 9.
y= -36 ÷ 9
y= -4
__________________________
4(3y+4.1)=7.6
Use the distributive property and multiply the 4 (which is outside of the partenthesis) by what's inside of the parenthesis (3y+4.1).
4(3y+4.1):
4 x 3y = 12y
4 x 4.1 = 16.4
12y+16.4 = 7.6
Subtract 16.4 from both sides
12y = -8.8
Divide both sides by 12 to get the y by itself
y= -0.73 (repeating)
__________________________
3(y+1) = 4y-21
This is similar to the last problem. You must use the distributive property and multiply what's outside of the parenthesis by what's inside of the parenthesis.
3 x y = 3y
3 x 1 = 3
Rewrite the equation
3y+3 = 4y-21
Now this problem is similar to the very first problem
You need y by itself. So subtract 3y from both sides
3=(4y-3y)-21
3= 1y-21
Add 21 to both sides to get y by itself
24=1y
y=24
__________________________
3(2c+5) = 4(c-3)
This is just like the last two problems, you must use the distributive property.
3 x 2c = 6c
3 x 5 = 15
Rewrite equation.
6c+15 = 4(c-3)
Now you have to use the distrubtive property for 4(c-3)
4 x c = 4c
4 x (-3) = -12
Rewrite
6c + 15 = 4c - 12
Subtract both sides by 4c
(6c-4c) + 15 = -12
2c + 15 = -12
Subtract by 15 from both sides.
2c = -27
Divide both sides by 2, in order to get c by itself
c = -27 ÷ 2
c = -13.5
Related Questions
Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form. 33.2 × 21 ≈ _______ × _______ = _______ Show your estimation and area model on your paper. Then solve using the standard algorithm. What is the answer?
Answers
Answer:
Step-by-step explanation:
Using the area model and standard algorithm, we have:
332 (tenths)
× 21
332
664
6972 tenths = 697.2
30 + 3 tenths
1 300 32 332
20 600 64 664
33.2 × 21 = 30 × 1 = 30
Angle B and angle C are supplementary If the measure of angle B is 14 times the measure of angle C, what is the difference between
the angles measures
Pls help asap
Answers
Answer:
The difference between the angle measure is 152 degrees
Step-by-step explanation:
Supplementary angles are angles that add up to 180
So if one angle is x in this case, the other will be 14x
Adding both ;
x + 14x = 180
15x = 180
x = 180/15
x = 12
The other angle is 14 * 12 = 168
The difference between the two will be;
168-12 = 156
how much larger is 33.333
Answers
A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?
Answers
Answer:
medium
Step-by-step explanation:
Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps
Answer:
medium!! {a p e x :))}
------------------------
Step-by-step explanation:
small: 160/225=0.71*100=71 shirts
medium: 335/375=0.893*100=89 shirts
large: 275/325=0.846153*100=85 shirts
x-large: 125/175=0.714285*100=71 shirts
based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts
Tom have 47 quaters his dad gave him 14 how many top have in all
Answers
Answer:
61 or 33
Step-by-step explanation:
47+14=61 or 47-14 =33
Answer:
I can help
Step-by-step explanation:
Quarters in help is 61 but in money its $16. Hope this helps.
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'? They are equidistant from origin. They are midpoints of segment ON and segment O prime N prime. They are equidistant from point O. They are midpoints of segment LN and segment L prime N prime.
Answers
Answer:
A. They are equidistant from origin.
The correct statement for the relationship between points N and N' is,
⇒ They are equidistant from origin.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'.
Now,
Since, Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'.
Hence, We know that;
After rotation of 90° clockwise around the origin the shape are equidistance from the origin.
Thus, The relationship between points N and N' is,
⇒ They are equidistant from origin.
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Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.
Answers
Answer:
[tex]a_{n}[/tex] = 7n - 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus
[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
Please help will give brainliest.
Answers
Answer:
x=(4,0)
y=(0,-6)
Step-by-step explanation:
Graph the line with the equation y = 1/6x + 5
Answers
The equation of line is given by y = ( 1/6 )x + 5 , where the slope of the line m is = 1/6
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = ( 1/6 )x + 5 be equation (1)
Now , it is of the form y = mx + b where m is the slope and b is the y-intercept
So , the slope of the line A is given by
Slope m = ( 1/6 )
Now , the line is plotted in the graph below
Hence , the equation of line is y = ( 1/6 )x + 5
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The line with the equation y = 1/6x + 5 is graphed in the image attached below.
Line represents the linear relationship in the coordinates forming a line.
To plot the given equation:
[tex]y=\frac{1}{6}x+5[/tex]............................................1
Take points which satisfies the given equation,
Let x=0,
from equation 1
y=0+5
y=5
So, plot A=(0,5) on the number line.
Similarly, at x=6 from equation 1
y=6/6+5
y=6
Then, plot B=(6,6) on the number line.
Similarly, at x=-6 from equation 1
y=-6/6+5
y=4
Then, plot C=(-6,4) on the number line.
Thus, draw a line joining this points and extrapolate it from both the ends as shown in the image attached below.
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Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 per year. She will also spend about $100 a month commuting from her parents’ house to school. How much will her education cost her in total?
Answers
Answer:
$13,400
Step-by-step explanation:
Given the following data;
Tuition and book per year = $5,500
Transportation per month = $100
In 2 years;
Total tuition and book = $5,500 * 2 = $11,000
Total tuition and book cost = $11,000
Transportation;
There are 12 months in a year, in 2 years = 12 * 2 = 24 months.
Thus, total on transportation = $100 * 24 = $2,400
Total transportation cost = $2,400
[tex] Overall \; cost = Total \; tuition \; and \; book \; cost + Total \; transportation \; cost[/tex]
Substituting into the above equation, we have;
Overall cost = $11,000 + $2,400
Overall cost = $13,400.
Hence, Lakita's education will cost her $13,400 in total.
convert 1.3333....... into P/Q form
Answers
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating value placed after the decimal point.
let
x = 1.3333... → (1) ( multiply both sides by 10 )
10x = 13.3333... → (2)
Subtract (1) from (2), eliminating the repeating decimal
9x = 12 ( divide both sides by 9 )
x = [tex]\frac{12}{9}[/tex] = [tex]\frac{4}{3}[/tex]
I will give 30 points please don’t mess around. Write an informal proof for why the construction of an equilateral triangle works.
Answers
Answer:
An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.
Step-by-step explanation:
what the answer for this pls help
ASAP will give brainliest
Answers
Answer:
X=8
Step-by-step explanation:
17x-4=12+15x
add 4 on both sides to get
17x=16+15x
now subtract 15x on both sides to get
2x=16
divide by 2 on both sides
you get
x=8
Answer:
im not too sure
Step-by-step explanation:
Use the Remainder Theorem to determine whether or not x + 3 is a divisor of p (x) = 2x^3 + 4x^2 - 2x + 12
PLEASE SHOW WORK.
Answers
Step-by-step explanation:
This is answer. I'm sri lankan. But our a/l exam have this mathematics questions
The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:
x + 3 = 0
x = -3
p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6
Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
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Write [tex]\sqrt[3]{x^{2} y^{2} }[/tex] using fractional exponents.
Answers
Answer:
[tex]x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x^{2}y^{2}} = (x^{2}y^{2})^{\frac{1}{3}}\\\\\\[/tex]
= [tex]=(x^2)^{\frac{1}{3}}y(^{2})^{\frac{1}{3}}\\\\\\= x^{2*{\frac{1}{3}}}y^{2*{\frac{1}{3}}}\\\\=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]
The graph shows how a store sells peppers by weight at a constant price per pound
Which of these statements is true?
Pepers)
Peppers cost $9 per pound,
The unitenst for peppers is $4,50 per pound,
You could get 2 pounds of peppers for $12
Peppers cost 84 per pound,
Answers
Answer:?
Step-by-step explanation: did u get the answer
Answer:
Step-by-step Peppers cost $4 per pound
explanation:
Write the EXPLICT equation for the arithmetic sequence below:
11, 9, 7, 5, 3.
Answers
Answer:
-2
you take two away every time
Please help me with this question.
Answers
Answer:
The measurement of largest angle is 83°
Step-by-step explanation:
Given angles are:
(2x+1)° , (x+15)° and x°
The sum of internal angles of a triangle is 180°
We will use this sum to find the value of x first
[tex](2x+1)+(x+15)+x = 180\\2x+1+x+15+x = 180\\4x+16 = 180\\4x = 180-16\\4x = 164\\\frac{4x}{4} = \frac{164}{4}\\x = 41[/tex]
Now the measurement of angles are:
x = 41
[tex]2x+1 = 2(41)+1 = 82+1 =83\\x+15 = 41+15 = 56[/tex]
Hence,
The measurement of largest angle is 83°
Stan has $95. He wants to buy as many movies as he can. All movies are originally
$12.00 and are on sale for 10% off. Tax is 5%
Answers
Answer:
Step-by-step explanation:
Each movie is $12.00. 10% off of 12% is 12-1.2 = 10.8
The final amount spent is 5%, that means we can multiply the end amount spend by 1.05
The maximum Stan can spend is $95
[tex](10.8m)*1.05\leq 95\\(10.8m)\leq 90.4762\\m \leq \frac{90.4762}{10.8}\\m\leq 8.3774[/tex]
Now, you can't buy 0.3 of a movie, so the most Stan can buy is 8 movies
to decrease an amount 37% multiply by
Answers
Answer:
if x is the amount =100%
then to decrease the amount by 37% =(100-37)% = 63% of x =x*63/100 =x*0.63
multiply the amount by 0.63
Step-by-step explanation:
Answer:
0.63
Step-by-step explanation:
if x is the amount=100% then to decrease by 37% multiply by 0.63
Which equation represents the vertical line passing through (1.-9)?
A X=-9
В. x= 1
C y=-9
D. y = 1
Answers
Answer:
B
Step-by-step explanation:
if it is a vertical line, x=1 for all values of y
Answer:it’s B i just took this
Step-by-step explanation:
Solve the equation 11x + 16y = 13 for y.
The solution is y = ?
.
Answers
Answer:
y=13/16 minus 11x/16
I hope this helps :-)
7.83 x 10-11
Write in standard from
Answers
Answer:
0.0000000000783
Step-by-step explanation:
Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.
5 and 1/3 divided by 1 and 1/6
Answers
Answer: 4 4/7
Step-by-step explanation:
Determine if each graph represents a function explain your reasoning. Please do 9 and 10 :)
Answers
Answer:
9is an irrationalnfunction which would be 0=y^2+x^2 while 10 is y=-x^2+3
What does a,b,c,d,e equal to
Answers
Step-by-step explanation:
360÷60=6 one angle
a=18
b=36
c=84
d=108
e=114
Solve for x. 4x-5=9+20
Answers
Answer:
x = 8.5
Step-by-step explanation:
4x-5=9+20 (evaluate right side)
4x - 5 = 29 (add 5 to both sides)
4x = 29 + 5
4x = 34 (divide both sides by 4)
x = 34/4
x = 8.5
Answer:
Today : Saturday, 07 November 2020
Hour: 14.28 WIB (Indonesia)
_______________________________
4x - 5 = 9 + 20
= 4x - 5 = 29
= 4x = 29 + 5
= 4x = 34
= x = 34/4
= x = 17/2
= x = 8 1/2
x - 2y < 2
graph the inequality
Answers
Answer:
y > 1/2x - 1
First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).
Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.
Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.
Explanation:
Convert standard form (Ax + By = C) by isolating y from the rest of the equation.
Ax + By = C → y = -Ax/B + C/B → y = mx + b.
Given a standard form equation in inequality form,
x - 2y < 2.
Set it to slope-intercept as an inequality to find the slope and y-intercept.
When negating (making opposite) a variable, you flip the inequality.
x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → y > 1/2x - 1.
A quadratic equation is shown below.
6x^2 = 10x - 1
What are the solutions to the quadratic equation?
Answers
Answer:
Two roots are:
[tex]x = \frac{ 5 + \sqrt{19}}{6}\\x = \frac{ 5 - \sqrt{19}}{6}[/tex]
Step-by-step explanation:
[tex]6x^2 = 10x - 1\\6x^2 - 10x + 1 = 0\\\\x = \frac{ 10 + \sqrt{10^2-4*6}}{2*6}\\x = \frac{ 10 + \sqrt{76}}{12}\\x = \frac{ 5 + \sqrt{19}}{6}\\x = \frac{ 5 - \sqrt{19}}{6}[/tex]
Adrian has 12 pounds of coffee. He wants to repackage the coffee into bags of 2/3 pounds. How many bags of coffee can he make?
Answers
Answer:
18 bags of coffee
Step-by-step explanation:
12 divided into 2/3 is the same as 12 multiplied by 3/2
12 x (3/2) = 18
18 bags x( 2/3) pounds of coffee each = 12 pounds of coffee
